Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/164655
Title: A Legendre wavelet collocation method for 1D and 2D coupled time-fractional nonlinear diffusion system
Authors: Faheem, Mo
Khan, Arshad
Wong, Patricia Jia Ying
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2022
Source: Faheem, M., Khan, A. & Wong, P. J. Y. (2022). A Legendre wavelet collocation method for 1D and 2D coupled time-fractional nonlinear diffusion system. Computers and Mathematics With Applications, 128, 214-238. https://dx.doi.org/10.1016/j.camwa.2022.10.014
Journal: Computers and Mathematics with Applications 
Abstract: A Legendre wavelet collocation method is proposed for solving a nonlinear coupled time fractional diffusion system. We have formulated a Riemann-Liouville fractional integral operator for Legendre wavelet (RLFIO-L) adopting the definition of Riemann-Liouville fractional integral operator combined with the Laplace transformation. Both the time and space variables are discretized in terms of the Legendre wavelet and RLFIO-L. The nonlinear coupled diffusion system is quasi-linearized by making use of the Newton's method. For theoretical concerns, the upper bound of error norm of the proposed method is estimated. Some numerical experiments are presented to authenticate the computational efficacy of the method.
URI: https://hdl.handle.net/10356/164655
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2022.10.014
Schools: School of Electrical and Electronic Engineering 
Rights: © 2022 Elsevier Ltd. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:EEE Journal Articles

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